mathsurgery - GCSE R1

Modular GCSE Learning Outline created Feb 2011

module ref:	GM5	topic:	3-D shapes, symmetry and tessellations, exact answers and surds
week number:	year 10 wk 29-30	duration:	6 - 10 hours

Introduction:
This unit of work derives from Edexcel module 2-20 and Edexcel module 2-11. These originally were timetabled 3 - 5 hours and 3 - 5 hours respectively, so time will be tight but your first task will be to assess what they recall from previous years. Keep a careful note of the objectives you cover and plan to continue with this in mind next time. Please note that module 2-11 will only be for Higher students only. Suggested Phasing of Lessons:

Lesson number	My chosen LOs	Starter	Main	Plenary
1	WILF is to find out what you can remember about 3-D shapes	Baseline activity: find out what pupils can recall. Use MWB and hinge questions or the multiview activity?	Secure knowledge just within capability of average student.	Stretch, apply and extend.
2		Skill development: MWB or quizdom on the previous lesson’s (M)	Skill development: work toward secure knowledge of linear sequences, graphs and functions
3	WALT use 2-D representations of 3-D shapes	Suggested use of the materials in the Standards Unit box: Representing 3-D Shapes.pdf There are teaching plans too.		Computer program Building Houses Building Houses 1.docx
4		Skill development: check what is recalled from the previous lesson’s (M)	Skill development: work toward secure knowledge of next LO	(P) How might this be used in the real world? What next?
5		Skill development: check what is recalled from the previous lesson’s (M)	Skill development: work toward secure knowledge of next LO	(P) How might this be used in the real world? What next?
6		Skill development: check what is recalled from the previous lesson’s (M)	Skill development: work toward secure knowledge of next LO	(P) How might this be used in the real world? What next?
7	WALT Manipulate Surds (sets 1 and 2 only)

Modular GCSE Learning Outline created Feb 2011

module ref:	GM5	topic:	3-D shapes, symmetry and tessellations, exact answers and surds
week number:	year 10 wk 29-30	duration:	6 - 10 hours

grade	level	learning objective	learning activity
		¨
A*		¨Manipulate surds in the form	Icard sort activity manipulating surds Surds 2.fjsw Êopportunity for paired or small group work ÊPLTs team worker – ‘work alongside others’ and ‘take part in discussions’
A*		¨Understand and use rational and irrational numbers
A		¨
A		¨Manipulate surds	Icard sort activity standards unit Manipulating Surds.pdf Êopportunity for paired or small group work ÊPLTs team worker – ‘work alongside others’ and ‘take part in discussions’ Icard sort activity manipulating surds Surds 1.fjsw Êopportunity for paired or small group work ÊPLTs team worker – ‘work alongside others’ and ‘take part in discussions’
B		¨
B		¨
C		¨Solve increasingly demanding problems and evaluate solutions; explore connections in mathematics across a range of contexts: including shape, space and measure; refine or extend the mathematics used to generate fuller solutions.	4 Functional Skills Activities fsChristmasShoebox.pdf fsSwimmingPool.pdf


D		¨Devise instructions for a computer to generate and transform shapes and paths
		¨Visualise and use 2-D representations of 3-D objects	8Standards Unit: Representing 3-D Shapes.pdf 8 Building Houses 1.docx (this is a word document with links to the computer program that goes with the representing 3D shapes Unit) ¸ 3D Shapes.wmv (Video about prisms which does go into volume but useful for revision) ü http://preview.channel4learning.com/espresso/clipbank/html/lp_maths_prisms.html#anchor1 (Lesson plan with linked Video)
		¨Know that translations, rotations and reflections preserve length and angle and map objects onto congruent images	4Tesselations Tesselation L6.pdf
E		¨Use a wider range of properties of 2-D and 3-D shapes and identify all the symmetries of 2-D shapes	IMaking Nets cubenets L5.exe Net Cube L5.doc Net Cuboid.doc Net Triangular Prism L5.doc nets activities L5.pdf Nets of 3d shapes L5.pdf Nets of Solid Shapes L5.doc Êopportunity for paired or small group work ÊPLTs team worker – ‘work alongside others’ and ‘take part in discussions’
E		¨Reason about position and movement and transform shapes
F		¨Use the properties of 2-D and 3-D shapes ¨Choose and use appropriate units and instruments	Icard sort activity 2d shape cards L4.pdf 3dshape cards Level 4.pdf Êopportunity for paired or small group work ÊPLTs team worker – ‘work alongside others’ and ‘take part in discussions’ 4Rotational symmetry worksheet Rotational Symmetry L4.pdf
F		¨Make 3-D models by linking given faces or edges and draw common 2-D shapes in different orientations on grids
G		¨Classify 3-D and 2-D shapes in various ways using mathematical properties such as reflective symmetry for 2-D shapes ¨Begin to recognise nets of familiar 3-D shapes, e.g. cube, cuboid, triangular prism, square-based pyramid
G		¨Recognise shapes in different orientations and reflect shapes, presented on a grid, in a vertical or horizontal mirror line ¨Describe position and movement

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GCSE R1